We consider a harmonically driven acoustic medium in the form of a (finite length) highly nonlinear granular crystal with an amplitude- and frequency-dependent boundary drive. Despite the absence of a linear spectrum in the system, we identify resonant periodic propagation whereby the crystal respon…
[Phys. Rev. E 92, 063203] Published Wed Dec 23, 2015
]]>By invoking Bogoliubov's spectrum, we show that for the nonlinear Schrödinger equation, the modulation instability (MI) of its Fourier mode on a finite background automatically triggers a further cascading instability, forcing all the higher modes to grow exponentially in locked step with the
[Phys. Rev. E 92, 063202] Published Tue Dec 08, 2015
]]>Despite their self-reconstruction properties in heterogeneous media, Bessel beams are known to degenerate when they are refracted from an isotropic to an anisotropic medium. In this paper, we study the converse situation wherein an anisotropic Bessel beam is refracted into an isotropic medium. It is…
[Phys. Rev. E 92, 063201] Published Tue Dec 01, 2015
]]>It is well known that the Korteweg–de Vries (KdV) equation has an infinite set of conserved quantities. The first three are often considered to represent mass, momentum, and energy. Here we try to answer the question of how this comes about and also how these KdV quantities relate to those of the Eu…
[Phys. Rev. E 92, 053202] Published Tue Nov 10, 2015
]]>We construct rogue waves (RWs) in a coupled two-mode system with the self-focusing nonlinearity of the Manakov type (equal SPM and XPM coefficients), spatially modulated coefficients, and a specially designed external potential. The system may be realized in nonlinear optics and Bose-Einstein conden…
[Phys. Rev. E 92, 053201] Published Mon Nov 09, 2015
]]>We study theoretically and experimentally coherent imaging of surface plasmon polaritons using either leakage radiation microscopy through a thin metal film or interference microscopy through a thick metal film. Using a rigorous modal formalism based on scalar Whittaker potentials, we develop a syst…
[Phys. Rev. E 92, 033202] Published Mon Sep 28, 2015
]]>We present theoretical calculations of the ensemble-averaged (or effective or coherent) wave field propagating in a heterogeneous medium considered as one realization of a random process. In the literature, it is usually assumed that heterogeneity can be accounted for by a random scalar function of …
[Phys. Rev. E 92, 033201] Published Wed Sep 23, 2015
]]>Field-induced magnetostatic interaction in a pair of identical particles made of a magnetically soft ferromagnet is studied. It is shown that due to saturation of the ferromagnet magnetization, this case differs significantly from the (super)paramagnetic one. A numerical solution is given, discussed…
[Phys. Rev. E 92, 023202] Published Wed Aug 26, 2015
]]>Hierarchical porous media are multiscale systems, where different characteristic pore sizes and structures are encountered at each scale. Focusing the analysis to three pore scales, an upscaling procedure based on the volume-averaging method is applied twice, in order to obtain a macroscopic model f…
[Phys. Rev. E 92, 023201] Published Mon Aug 03, 2015
]]>We model both the photostationary state and dynamics of an illuminated, photosensitive, glassy liquid crystalline sheet. To illustrate the interplay between local tilt of the sheet, effective incident intensity, curvature, and dynamics, we adopt the simplest variation of local incident light inten…
[Phys. Rev. E 92, 013206] Published Fri Jul 31, 2015
]]>Origami-based design offers a promising technique to develop materials whose mechanical properties can be tuned by crease patterns introduced to thin sheets. This work proposes a general framework for analyzing the mechanics of origami tessellations as a crystalline material by connecting geometry to more conventional analysis of elasticity in solid-state structures.
[Phys. Rev. E 92, 013205] Published Mon Jul 27, 2015
]]>We investigated the appearance of Chern-Simons terms in electrodynamics at the surface or interface of materials. The requirement of locality, gauge invariance, and renormalizability in this model is imposed. Scattering and reflection of electromagnetic waves in three different homogeneous layers of…
[Phys. Rev. E 92, 013204] Published Fri Jul 17, 2015
]]>The emission pattern from a classical dipole located above and oriented perpendicular to a metallic or dielectric half space is calculated for a dipole driven at constant amplitude. Emphasis is placed on the fields in the metal or dielectric. It is shown that the radial Poynting vector in the metal …
[Phys. Rev. E 92, 013203] Published Tue Jul 07, 2015
]]>Reflection and transmission due to the incident wave in one-dimensional bead chains when there are impurities have been studied. The impurities can be any kind of material, any size, and their numbers are arbitrary. The dependence of the transmission and the reflection on the numbers and the materia…
[Phys. Rev. E 92, 013202] Published Mon Jul 06, 2015
]]>Stationary solutions for the cubic nonlinear Schrödinger equation modeling Bose-Einstein condensates (BECs) confined in three spatial dimensions by general forms of a potential are studied through a perturbation method and also numerically. Note that we study both repulsive and attractive BECs under…
[Phys. Rev. E 92, 013201] Published Wed Jul 01, 2015
]]>A detailed study of non-Bragg-gap solitons in one-dimensional Kerr-metamaterial quasiperiodic Fibonacci heterostructures is performed. The transmission coefficient is numerically obtained by combining the transfer-matrix formalism in the metamaterial layers with a numerical solution of the nonlinear…
[Phys. Rev. E 91, 063205] Published Tue Jun 23, 2015
]]>The radiation of a charged-particle bunch moving perpendicularly to a semi-infinite plane grid composed of thin parallel wires is analyzed using the method of averaged boundary conditions (the period of the grid is assumed to be much less than the wavelengths under investigation). We perform an anal…
[Phys. Rev. E 91, 063202] Published Mon Jun 15, 2015
]]>The authors study shapes and associated forces for a closed semiflexible polymer bound to the inside or the outside of a cylinder.
[Phys. Rev. E 91, 063203] Published Mon Jun 15, 2015
]]>We study the evolution of localized wave groups in unidirectional water wave envelope equations [the nonlinear Schrödinger (NLSE) and the modified NLSE (MNLSE)]. These localizations of energy can lead to disastrous extreme responses (rogue waves). We analytically quantify the role of such spatial lo…
[Phys. Rev. E 91, 063204] Published Mon Jun 15, 2015
]]>We consider the inhomogeneous nonparaxial nonlinear Schrödinger (NLS) equation with varying dispersion, nonlinearity, and nonparaxiality coefficients, which governs the nonlinear wave propagation in an inhomogeneous optical fiber system. We present the similarity and Darboux transformations and for …
[Phys. Rev. E 91, 063201] Published Wed Jun 03, 2015
]]>The Hasimoto transformation between the classical LIA (local induction approximation, a model approximating the motion of a thin vortex filament) and the nonlinear Schrödinger equation (NLS) has proven very useful in the past, since it allows one to construct new solutions to the LIA once a solution…
[Phys. Rev. E 91, 053201] Published Fri May 29, 2015
]]>The paper states that magnetic balls preferably assemble in a tube geometry if the number of particles exceeds . We find that for substantially higher particle counts, such as , a round cluster of densely packed magnetic balls with an fcc lattice can outmatch the described tube structur…
[Phys. Rev. E 91, 057201] Published Tue May 19, 2015
]]>The authors of the Comment [Phys. Rev. E 91, 057201 (2015)] propose compact round clusters as, energetically, better candidates than stacked rings found in Messina et al. [Phys. Rev. E 89, 011202 (2014)] (forming open tubes) at a pretty large number of constitutive magnets, typically for . Our…
[Phys. Rev. E 91, 057202] Published Tue May 19, 2015
]]>The long-time effect of weak rotation on an internal solitary wave is the decay into inertia-gravity waves and the eventual emergence of a coherent, steadily propagating, nonlinear wave packet. There is currently no entirely satisfactory explanation as to why these wave packets form. Here the initia…
[Phys. Rev. E 91, 051201(R)] Published Mon May 18, 2015
]]>We consider developed turbulence in the two-dimensional Gross-Pitaevskii model, which describes wide classes of phenomena from atomic and optical physics to condensed matter, fluids, and plasma. The well-known difficulty of the problem is that the hypothetical local spectra of both inverse and direc…
[Phys. Rev. E 91, 041201(R)] Published Wed Apr 29, 2015
]]>In this paper we investigate linear transient growth of perturbation energy in Taylor-Couette flow of a Bingham fluid. The effects of yield stress on transient growth and the structure of the optimal perturbation are mainly considered for both the wide-gap case and the narrow-gap case. For this purp…
[Phys. Rev. E 91, 043202] Published Mon Apr 13, 2015
]]>We consider a two-dimensional (2D) generalization of a recently proposed model [Gligorić et al., Phys. Rev. E 88, 032905 (2013)], which gives rise to bright discrete solitons supported by the defocusing nonlinearity whose local strength grows from the center to the periphery. We explore the 2D mode…
[Phys. Rev. E 91, 043201] Published Tue Apr 07, 2015
]]>We study wave propagation in a chain of spherical particles containing a local resonator. The resonant particles are made of an aluminum outer spherical shell and a steel inner mass connected by a polymeric plastic structure acting as a spring. We characterize the dynamic response of individual part…
[Phys. Rev. E 91, 033208] Published Tue Mar 31, 2015
]]>We introduce a ladder-shaped chain with each rung carrying a parity-time- symmetric gain-loss dimer. The polarity of the dimers is staggered along the chain, meaning alternation of gain-loss and loss-gain rungs. This structure, which can be implemented as an optical waveguide array, is the sim…
[Phys. Rev. E 91, 033207] Published Wed Mar 25, 2015
]]>Spectral reshaping and nonuniform phase delay associated with an electromagnetic pulse propagating in a temporally dispersive medium may lead to interesting observations in which the group velocity becomes superluminal or even negative. In such cases, the finite bandwidth of the superluminal region …
[Phys. Rev. E 91, 033206] Published Tue Mar 24, 2015
]]>We study how the stability of spherical crystalline shells under external pressure is influenced by the defect structure. In particular, we compare stability for shells with a minimal set of topologically required defects to shells with extended defect arrays (grain boundary “scars” with nonvanishin…
[Phys. Rev. E 91, 033205] Published Thu Mar 19, 2015
]]>We investigate the survival of circularly polarized light in random scattering media. The surprising persistence of this form of polarization has a known dependence on the size and refractive index of scattering particles, however a general description regarding polydisperse media is lacking. Throug…
[Phys. Rev. E 91, 033204] Published Mon Mar 16, 2015
]]>Negative values of the Casimir entropy occur quite frequently at low temperatures in arrangements of metallic objects. The physical reason lies either in the dissipative nature of the metals as is the case for the plane-plane geometry or in the geometric form of the objects involved. Examples for th…
[Phys. Rev. E 91, 033203] Published Wed Mar 11, 2015
]]>Via the Darboux transformation, a chain of nonsingular localized-wave solutions is derived for a nonlocal nonlinear Schrödinger equation with the self-induced parity-time -symmetric potential. It is found that the iterated solution in general exhibits a variety of elastic interactions a…
[Phys. Rev. E 91, 033202] Published Thu Mar 05, 2015
]]>The study of soliton interactions is of significance for improving pulse qualities in nonlinear optics. In this paper, interaction between two solitons, which is governed by the Hirota equation, is considered. Via use of the Hirota method, an analytic soliton solution is obtained. Then a two-period …
[Phys. Rev. E 91, 033201] Published Wed Mar 04, 2015
]]>We investigate coupled nonlinear Schrödinger equations (NLSEs) with variable coefficients and gain. The coupled NLSE is a model equation for optical soliton propagation and their interaction in a multimode fiber medium or in a fiber array. By using Hirota's bilinear method, we obtain the bright-brig…
[Phys. Rev. E 91, 023210] Published Tue Feb 24, 2015
]]>Soliton transport in tubelike networks is studied by solving the nonlinear Schrödinger equation (NLSE) on finite thickness (“fat”) graphs. The dependence of the solution and of the reflection at vertices on the graph thickness and on the angle between its bonds is studied and related to a special ca…
[Phys. Rev. E 91, 023209] Published Fri Feb 20, 2015
]]>In the present work we test experimentally and compute numerically the stability and dynamics of harmonically driven monoatomic granular chains composed of an increasing number of particles . In particular, we investigate the inherent effects of dissipation and finite size on the evolution …
[Phys. Rev. E 91, 023208] Published Thu Feb 19, 2015
]]>We present closed-form expressions of the effective conductivity of composites made of matrix and impenetrable polydispersed particles. The approach developed in a recent work has been generalized to treat periodic multiphase composite materials. Particular cases including orthorhombic arrangements …
[Phys. Rev. E 91, 023206] Published Wed Feb 18, 2015
]]>We propose a new method of detecting radiation reaction effects in the motion of particles subjected to laser pulses of moderate intensity and long duration. The effect becomes sizable for particles that gain almost no energy through the interaction with the laser pulse. Hence, there are regions of …
[Phys. Rev. E 91, 023207] Published Wed Feb 18, 2015
]]>We report experimental results and study theoretically soliton formation and propagation in an air-filled acoustic waveguide side loaded with Helmholtz resonators. We propose a theoretical modeling of the system, which relies on a transmission-line approach, leading to a nonlinear dynamical lattice …
[Phys. Rev. E 91, 023204] Published Fri Feb 13, 2015
]]>Optical rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling, which describe the propagation of orthogonally polarized optical waves in an isotropic medium, are reported. We construct and discuss a family of the vector rogue-wave solutions, including the bright …
[Phys. Rev. E 91, 023205] Published Fri Feb 13, 2015
]]>We study the classical dynamics of the Abelian-Higgs model in (1 + 1) space-time dimensions for the case of strongly broken gauge symmetry. In this limit the wells of the potential are almost harmonic and sufficiently deep, presenting a scenario far from the associated critical point. Using a multis…
[Phys. Rev. E 91, 023202] Published Wed Feb 04, 2015
]]>The existence and stability of optical solitons in the semi-infinite gap of parity-time (PT)-symmetric optical lattices with competing cubic and quintic nonlinearities are investigated numerically. The fundamental and dipole solitons can exist only with focusing quintic nonlinearity; however, they a…
[Phys. Rev. E 91, 023203] Published Wed Feb 04, 2015
]]>Symmetry breaking is reported for continuous families of solitons in the nonlinear Schrödinger equation with a two-dimensional complex potential. This symmetry breaking is forbidden in generic complex potentials. However, for a special class of partially parity-time-symmetric potentials, it is allow…
[Phys. Rev. E 91, 023201] Published Mon Feb 02, 2015
]]>In this paper we give the complete classification of solitons for a cubic nonlinear Schrödinger equation on the simplest network with a nontrivial topology: the tadpole graph, i.e., a ring with a half line attached to it and free boundary conditions at the junction. This is a step toward the modeliz…
[Phys. Rev. E 91, 013206] Published Mon Jan 26, 2015
]]>The 2+1-dimensional compressible Euler equations are investigated here. A power-type elliptic vortex ansatz is introduced and thereby reduction obtains to an eight-dimensional nonlinear dynamical system. The latter is shown to have an underlying integral Ermakov-Ray-Reid structure of Hamiltonian typ…
[Phys. Rev. E 91, 013204] Published Tue Jan 20, 2015
]]>By using canonical transformations we obtain localized (in space) exact solutions of the nonlinear Schrödinger equation (NLSE) with cubic and quintic space and time modulated nonlinearities and in the presence of time-dependent and inhomogeneous external potentials and amplification or absorption (s…
[Phys. Rev. E 91, 013205] Published Tue Jan 20, 2015
]]>It is often believed that the Rayleigh-Lagrange formalism for classical dissipative systems is unable to encompass forces described by nonlinear functions of the velocities. Here we show that this is indeed a misconception.
[Phys. Rev. E 91, 013203] Published Wed Jan 14, 2015
]]>Fluxon dynamics in the dc-biased array of asymmetric three-junction superconducting quantum interference devices (SQUIDs) is investigated. The array of SQUIDs is described by the discrete double sine-Gordon equation. It appears that this equation possesses a finite set of velocities at which the flu…
[Phys. Rev. E 91, 013202] Published Fri Jan 09, 2015
]]>It is pointed out that the interaction of a magnet and a point charge has not been properly understood because the mutual interactions of the magnet's current carriers have been neglected. The magnet-point-charge interaction is important for understanding some theoretical paradoxes, such as the Shoc…
[Phys. Rev. E 91, 013201] Published Wed Jan 07, 2015
]]>We show that stable bright solitons can appear in a medium with spatially inhomogeneous self-defocusing (SDF) nonlinearity of a double-well structure. For a specific choice of the nonlinearity parameters, we obtain exact analytical solutions for the fundamental bright solitons. By making use of the …
[Phys. Rev. E 90, 063204] Published Mon Dec 29, 2014
]]>In this work, we investigate the dynamics of an uniaxial silica fiber under the viewpoint of propagation of ultimately ultrashort optical waveguide channels. As a result, we unveil the existence of three typical kinds of ultrabroadband excitations whose profiles strongly depend upon their angular mo…
[Phys. Rev. E 90, 063203] Published Tue Dec 23, 2014
]]>In time-reversal acoustics, waves recorded at the boundary of a strongly scattering medium are sent back into the medium to focus at the original source position. This requires that the medium can be accessed from all sides. We discuss a focusing method for media that can be accessed from one side o…
[Phys. Rev. E 90, 063202] Published Thu Dec 11, 2014
]]>The solution of the inverse scattering problem for the one-dimensional Schrödinger equation is given by the Marchenko equation. Recently, a Marchenko-type equation has been derived for three-dimensional (3D) acoustic wave fields, whose solution has been shown to recover the Green's functions from po…
[Phys. Rev. E 90, 063201] Published Mon Dec 01, 2014
]]>The extended optical theorem is generalized for scalar acoustical beams of arbitrary character with any angle of incidence interacting with an object of arbitrary geometric shape and size, and placed randomly in the beam's path with any scattering angle. Analytical expressions for the extinction, ab…
[Phys. Rev. E 90, 053204] Published Mon Nov 24, 2014
]]>This study presents an analytical approach for the electromagnetic characterization of one-dimensional inhomogeneous media. The proposed approach provides the permittivity profile of the medium in terms of the reflection and transmission coefficients. The inverse solution of the permittivity profile…
[Phys. Rev. E 90, 053203] Published Fri Nov 07, 2014
]]>To understand the nature of the electromagnetic resonances of finite metallic surfaces, we formulate a rigorous and rapidly convergent circuit theory for the interaction of a metallic disk and a metallic annulus with an electromagnetic field. Expressions for the current induced and the resonance con…
[Phys. Rev. E 90, 053202] Published Wed Nov 05, 2014
]]>We present a dynamically tunable mechanism of wave transmission in one-dimensional helicoidal phononic crystals in a shape similar to DNA structures. These helicoidal architectures allow slanted nonlinear contact among cylindrical constituents, and the relative torsional movements can dynamically tu…
[Phys. Rev. E 90, 053201] Published Tue Nov 04, 2014
]]>The depolarization coefficients are calculated for multiply scattered linearly and circularly polarized light. For a number of media (aqueous suspension of polystyrene particles, water droplets in air), the calculations are carried out both numerically, with solving the vector radiative transfer equ…
[Phys. Rev. E 90, 043205] Published Tue Oct 28, 2014
]]>The wave equation for pressure that governs generation of the photoacoustic effect possesses a forcing term proportional to the time derivative of the energy delivered to the gas per unit volume and time. A positive pressure fluctuation, with its accompanying density increase, thus increases the opt…
[Phys. Rev. E 90, 043204] Published Wed Oct 22, 2014
]]>We show that the state of amide-I excitations in proteins is modeled by the discrete nonlinear Schrödinger equation with saturable nonlinearities. This is done by extending the Davydov model to take into account the competition between local compression and local dilatation of the lattice, thus lead…
[Phys. Rev. E 90, 043203] Published Tue Oct 21, 2014
]]>We demonstrate controllable parabolic-cylinder optical rogue waves in certain inhomogeneous media. An analytical rogue wave solution of the generalized nonlinear Schrödinger equation with spatially modulated coefficients and an external potential in the form of modulated quadratic potential is obtai…
[Phys. Rev. E 90, 043201] Published Mon Oct 06, 2014
]]>We propose a possibility to simulate the exciton-polariton (EP) system in the lossless limit, which is not currently available in semiconductor microcavities, by means of a simple optical dual-core waveguide, with one core carrying the nonlinearity and operating close to the zero-group-velocity-disp…
[Phys. Rev. E 90, 043202] Published Mon Oct 06, 2014
]]>We provide a family of transparent tight-binding models with nontrivial potentials and site-dependent hopping parameters. Their feasibility is discussed in electromagnetic resonators, dielectric slabs, and quantum-mechanical traps. In the second part of the paper, the arrays are obtained through a g…
[Phys. Rev. E 90, 033205] Published Wed Sep 24, 2014
]]>We consider a system of two cubic-quintic nonlinear Schrödinger equations in two dimensions, coupled by repulsive cubic terms. We analyze situations in which a probe lump of one of the modes is surrounded by a fluid of the other one and analyze their interaction. We find a realization of D'Alembert'…
[Phys. Rev. E 90, 033204] Published Mon Sep 22, 2014
]]>The coexistence of two different types of fundamental rogue waves is unveiled, based on the coupled equations describing the (2+1)-component long-wave–short-wave resonance. For a wide range of asymptotic background fields, each family of three rogue wave components can be triggered by using a slight…
[Phys. Rev. E 90, 033203] Published Mon Sep 15, 2014
]]>In this paper, we investigate nonintegrable semidiscrete Hirota equations, including the nonintegrable semidiscrete equation and the nonintegrable semidiscrete equation. We focus on the topics on gauge-equivalent structures and dynamical behaviors for the two nonintegrable semidiscre…
[Phys. Rev. E 90, 033202] Published Tue Sep 09, 2014
]]>When elastic metamaterials are subjected to tension they may respond by undergoing contraction instead of expansion as an ordinary material would (and vice versa). This negative compressibility behavior can only occur if the system moves from one stable state to a different stable state as the force…
[Phys. Rev. E 90, 033201] Published Wed Sep 03, 2014
]]>We obtain exact solutions for kinks in , , and field theories with degenerate minima, which can describe a second-order phase transition followed by a first-order one, a succession of two first-order phase transitions and a second-order phase transition followed by two first-order phase tra…
[Phys. Rev. E 90, 023208] Published Wed Aug 27, 2014
]]>We show that transverse electromagnetic waves propagating along an external static electric field in liquid metacrystal (LMC) can provoke spontaneous rearrangement of elongated meta-atoms that changes the direction of the anisotropy axis of the LMC. This kind of instability may reorient the meta-ato…
[Phys. Rev. E 90, 023207] Published Tue Aug 26, 2014
]]>In this work, we analyze the phononic characteristics of wave motion in precompressed monoatomic and diatomic granular chains, with emphasis on the evolving spatial features of wave packets. A Taylor series expansion of the governing equations is considered to approximate the granular chain with the…
[Phys. Rev. E 90, 023205] Published Mon Aug 25, 2014
]]>We report the experimental observation of the gravity-induced asymmetry for the nonlinear transformation of acoustic waves in a noncohesive granular phononic crystal. Because of the gravity, the contact precompression increases with depth inducing space variations of not only the linear and nonlinea…
[Phys. Rev. E 90, 023206] Published Mon Aug 25, 2014
]]>We introduce a numerical method to integrate the stochastic Landau-Lifshitz-Gilbert equation in spherical coordinates for generic discretization schemes. This method conserves the magnetization modulus and ensures the approach to equilibrium under the expected conditions. We test the algorithm on a …
[Phys. Rev. E 90, 023203] Published Fri Aug 22, 2014
]]>We investigate the nonlinear dynamics of a periodic chain of bistable elements consisting of masses connected by elastic springs whose constraint arrangement gives rise to a large-deformation snap-through instability. We show that the resulting negative-stiffness effect produces three different regi…
[Phys. Rev. E 90, 023204] Published Fri Aug 22, 2014
]]>We present analytical results for the first-passage statistics of Brownian particles near a comblike absorbing boundary. Our approach is based on the method of boundary homogenization (or boundary smoothing) when an equivalent flat boundary is introduced to maintain the same diffusion flux as the or…
[Phys. Rev. E 90, 023202] Published Fri Aug 15, 2014
]]>Stationary solutions for the cubic nonlinear Schrödinger equation modeling Bose-Einstein condensates (BEC) in a small potential are obtained via a form of perturbation. In particular, perturbations due to small potentials which either confine or repel the BECs are studied, and under arbitrary pi…
[Phys. Rev. E 90, 023201] Published Fri Aug 01, 2014
]]>The properties of self-similar optical waves propagating in a tapered cubic-quintic nonlinear waveguide are investigated. Using a lens-type transformation we obtain the exact analytical self-similar solutions which describe the propagation of bright-shaped solitons, dark-shaped solitons, kink-shaped…
[Phys. Rev. E 90, 013202] Published Thu Jul 31, 2014
]]>The mechanical response of a circularly driven disk in a dissipative medium is considered. We focus on the role played by viscous friction in the spinning motion of the disk, especially on the effect called reverse rotation, where the intrinsic and orbital rotations are antiparallel. Contrary to wha…
[Phys. Rev. E 90, 013201] Published Tue Jul 22, 2014
]]>In this work, we investigate the balance between the nonlinear and linear interaction energy of an interparticle anharmonic system in the vicinity of the ground state condensate. As a result, we find that the nonlinear interaction energy is very significant in the vicinity of each degree of freedom.…
[Phys. Rev. E 90, 011201(R)] Published Tue Jul 08, 2014
]]>Incorporating the bolometric effect, the thermoelastic damping in a nanowaveguide resonator driven by an optical gradient force is investigated in this paper. Based on the Euler-Bernoulli beam theory, the governing equation of the optowaveguide resonator is derived by considering the complex distrib…
[Phys. Rev. E 89, 063203] Published Thu Jun 26, 2014
]]>In this paper, we investigate both analytically and numerically the localized multivalued waveguide channels—the loop solitons—dynamics within a ferrite slab. In the starting point of the work, we solve in detail the initial value problem of the system while unveiling the existence of multivalued wa…
[Phys. Rev. E 89, 063201] Published Mon Jun 16, 2014
]]>This work concerns the modeling of radiative transfer in anisotropic turbid media using diffusion theory. A theory for the relationship between microscopic scattering properties (i.e., an arbitrary differential scattering cross-section) and the macroscopic diffusion tensor, in the limit of independe…
[Phys. Rev. E 89, 063202] Published Mon Jun 16, 2014
]]>We introduce a class of nonreciprocal metamaterials based on composite assemblies of metallic and biased ferrimagnetic elements. We show that such structures act as ultrathin one-way glasses due to the competition between two modes at the surface of the ferrimagnetic elements—a low-loss surface wave…
[Phys. Rev. E 89, 053203] Published Tue May 27, 2014
]]>Some 30 years have passed since we learned that any velocity perturbation develops into a propagating solitary wave in a granular chain, and over a decade has passed since we learned that these solitary waves break and reform upon collision, leaving behind small secondary solitary waves. The product…
[Phys. Rev. E 89, 053202] Published Tue May 13, 2014
]]>The fascinating and anomalous behavior of a chain that instead of falling straight down under gravity, first rises and then falls, acquiring a steady shape in space that resembles a fountain's spray, has recently attracted both popular and academic interest. The paper presents a complete mathematica…
[Phys. Rev. E 89, 053201] Published Tue May 06, 2014
]]>The nonlinear Schrödinger (NLS) equation is widely used in natural science. Various nonlinear excitations of the NLS equation have been found by many methods. However, except for the soliton-soliton interactions, it is very difficult to find interaction solutions between different types of nonlinear…
[Phys. Rev. E 89, 043202] Published Wed Apr 30, 2014
]]>We study -pulse interaction in fast collisions of solitons of the cubic nonlinear Schrödinger (NLS) equation in the presence of generic weak nonlinear loss. We develop a generalized reduced model that yields the contribution of the -pulse interaction to the amplitude shift for collisions in the …
[Phys. Rev. E 89, 043201] Published Fri Apr 11, 2014
]]>We study the dynamics of high-order rogue waves (RWs) in two-component coupled nonlinear Schrödinger equations. We find that four fundamental rogue waves can emerge from second-order vector RWs in the coupled system, in contrast to the high-order ones in single-component systems. The distribution sh…
[Phys. Rev. E 89, 041201(R)] Published Thu Apr 10, 2014
]]>The metric signature topological transitions associated with the propagation of electromagnetic waves in a dispersive metamaterial with frequency-dependent and anisotropic dielectric and magnetic responses are examined in the present work. The components of the reciprocal-space metric tensor depend …
[Phys. Rev. E 89, 033202] Published Fri Mar 14, 2014
]]>We propose a method to reconstruct the density of a luminescent source in a highly scattering medium from ultrasound-modulated optical measurements. Our approach is based on the solution to a hybrid inverse source problem for the diffusion equation.
[Phys. Rev. E 89, 031201(R)] Published Thu Mar 13, 2014
]]>We examine the -symmetry-breaking transition for a magnetic metamaterial of a finite extent, modeled as an array of coupled split-ring resonators in the equivalent circuit model approximation. Small-size arrays are solved completely in closed form, while for arrays larger than results were com…
[Phys. Rev. E 89, 033201] Published Mon Mar 03, 2014
]]>We investigate the solution in rational form for the Sasa-Satsuma equation on a continuous background which describes a nonlinear fiber system with higher-order effects including the third-order dispersion, Kerr dispersion, and stimulated inelastic scattering. The W-shaped soliton in the system is o…
[Phys. Rev. E 89, 023210] Published Fri Feb 28, 2014
]]>It is well known that a velocity perturbation can travel through a mass spring chain with strongly nonlinear interactions as a solitary and antisolitary wave pair. In recent years, nonlinear wave propagation in 2D structures have also been explored. Here we first consider the propagation of such a v…
[Phys. Rev. E 89, 023209] Published Thu Feb 27, 2014
]]>Starting from fundamental hydrodynamics and thermodynamics equations for thermoviscous fluids, a new modeling procedure, which is suitable to describe acoustic propagation in gas mixtures, is presented. The model revises the boundary conditions which are appropriate to describe the condensation-evap…
[Phys. Rev. E 89, 023208] Published Wed Feb 26, 2014
]]>Collective excitations of electron spins in a ferromagnetic sample dominated by the magnetic dipole-dipole interaction strongly influence the field structure of microwave radiation. A small quasi-two-dimensional ferrite disk with magnetic-dipolar-mode (MDM) oscillation spectra can behave as a source…
[Phys. Rev. E 89, 023207] Published Fri Feb 21, 2014
]]>Model equations for describing and efficiently computing the radiation profiles of tightly spherically focused higher-order electromagnetic beams of vortex nature are derived stemming from a vectorial analysis with the complex-source-point method. This solution, termed as a high-order quasi-Gaussian…
[Phys. Rev. E 89, 023205] Published Wed Feb 19, 2014
]]>We investigate the elastic behavior and damage of weakly cemented granular media under external load with ultrasound. The cementation controlled experiments are performed by freezing the capillary liquid at the bead contact in a dense glass or polymeric [poly(methyl methacrylate)] bead pack wet by t…
[Phys. Rev. E 89, 023206] Published Wed Feb 19, 2014
]]>The Gardner equation is a generic mathematical model for weakly nonlinear and weakly dispersive wave propagation when the effects of higher-order nonlinearity become significant. Using the so-called traveling wave ansatz , (where is the velocity of the wave)…
[Phys. Rev. E 89, 023204] Published Fri Feb 14, 2014
]]>One goal of photoacoustic tomography (PAT) is to estimate an initial pressure function from pressure data measured at a boundary surrounding the object of interest. This paper is concerned with a time reversal method for PAT that is based on the dissipative wave equation of Nachman, Smith, and Waa…
[Phys. Rev. E 89, 023203] Published Thu Feb 13, 2014
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